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Lab 1: Chi-Square Goodness-of-Fit Quiz

12 questions math Grades 9-12

The question sheet

Reveal any answer as you study
  1. What will the student evaluate in this lab?

    • If data fit chi-square or t
    • If data fit normal or binomial
    • If data fit Poisson or geometric
    • If data fit uniform or exponential
    Reveal answer

    Answer: If data fit uniform or exponential

    Source evidence

    PDF page 653: • The student will evaluate data collected to determine if they fit either the uniform or exponential distributions.

  2. How many people should you ask for their grocery receipt totals?

    • 20
    • 10
    • 50
    • 30
    Reveal answer

    Answer: 30

    Source evidence

    PDF page 653: Go to your local supermarket. Ask 30 people as they leave for the total amount on their grocery receipts. (Or, ask three cashiers for the last ten amounts. Be sure to include the express lane, if it is open.) NOTE You may need to combine two categories so that each cell has an expected value of at least five.

  3. As an alternative to asking 30 people, you may ask three cashiers for:

    • The last ten amounts
    • The store's total
    • The busiest hour
    • The average sale
    Reveal answer

    Answer: The last ten amounts

    Source evidence

    PDF page 653: Go to your local supermarket. Ask 30 people as they leave for the total amount on their grocery receipts. (Or, ask three cashiers for the last ten amounts. Be sure to include the express lane, if it is open.) NOTE You may need to combine two categories so that each cell has an expected value of at least five.

  4. When collecting data, you are told to be sure to include the:

    • Express lane if open
    • Self-checkout
    • Pharmacy line
    • Deli counter
    Reveal answer

    Answer: Express lane if open

    Source evidence

    PDF page 653: Go to your local supermarket. Ask 30 people as they leave for the total amount on their grocery receipts. (Or, ask three cashiers for the last ten amounts. Be sure to include the express lane, if it is open.) NOTE You may need to combine two categories so that each cell has an expected value of at least five.

  5. You may need to combine two categories so each cell has an expected value of at least:

    • Two
    • Thirty
    • Ten
    • Five
    Reveal answer

    Answer: Five

    Source evidence

    PDF page 653: Go to your local supermarket. Ask 30 people as they leave for the total amount on their grocery receipts. (Or, ask three cashiers for the last ten amounts. Be sure to include the express lane, if it is open.) NOTE You may need to combine two categories so that each cell has an expected value of at least five.

  6. For the uniform distribution test, which percentile values are requested?

    • 25, 50, 75
    • 33, 66
    • 20, 40, 60, 80
    • 10, 30, 50, 70, 90
    Reveal answer

    Answer: 20, 40, 60, 80

    Source evidence

    PDF page 654: b. 20 percentile = _________

    PDF page 654: c. 40 percentile = _________

    PDF page 654: d. 60 percentile = _________

  7. For the exponential distribution test, part d asks for the:

    • Mode
    • Range
    • Median
    • Mean
    Reveal answer

    Answer: Median

    Source evidence

    PDF page 655: d. median = ________

  8. The first test in the lab checks if grocery receipts follow which distribution?

    • Normal
    • Binomial
    • Exponential
    • Uniform
    Reveal answer

    Answer: Uniform

    Source evidence

    PDF page 654: Test to see if grocery receipts follow the uniform distribution.

  9. One test checks if receipts follow the exponential distribution using what parameter?

    • Standard deviation
    • Correlation
    • Growth rate
    • Decay parameter
    Reveal answer

    Answer: Decay parameter

    Source evidence

    PDF page 655: 1 Test to see if grocery receipts follow the exponential distribution with decay parameter . ̄

  10. For the exponential test, the random variable is written as:

    • X ~ Exp( )
    • X ~ U( )
    • X ~ N( )
    • X ~ B( )
    Reveal answer

    Answer: X ~ Exp( )

    Source evidence

    PDF page 655: as the decay parameter, X ~ Exp(_________).

  11. For the exponential distribution data, part b asks for the:

    • Median
    • First quartile
    • Lowest value
    • Highest value
    Reveal answer

    Answer: First quartile

    Source evidence

    PDF page 655: b. first quartile = ________

  12. Which percentile is requested for the exponential test in part c?

    • 20 percentile
    • 37 percentile
    • 63 percentile
    • 80 percentile
    Reveal answer

    Answer: 37 percentile

    Source evidence

    PDF page 655: c. 37 percentile = ________

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